Answer:
The probability that our guess is correct = 0.857.
Step-by-step explanation:
The given question is based on A Conditional Probability with Biased Coins.
Given data:
P(Head | A) = 0.1
P(Head | B) = 0.6
<u>By using Bayes' theorem:</u>
We know that P(B) = 0.5 = P(A), because coins A and B are equally likely to be picked.
Now,
P(Head) = P(A) × P(head | A) + P(B) × P(Head | B)
By putting the value, we get
P(Head) = 0.5 × 0.1 + 0.5 × 0.6
P(Head) = 0.35
Now put this value in , we get
Similarly.
Hence, the probability that our guess is correct = 0.857.
Answer: El mayor lado del rectangulo tiene 10cm
Step-by-step explanation:
El perímetro de un rectángulo puede escribirse como:
P = 2*L + 2*A
Donde L es el largo y A es el ancho.
Sabemos que uno de los lados es 6cm mas largo que el otro, entonces podemos escribir:
L = A + 6cm.
P = 28cm = 2*L + 2*A
podemos reemplazar la primera ecuación en la segunda:
28cm = 2*(A + 6cm) + 2*A
28cm = 12cm + 4*A
28cm - 12cm = 4*A
16cm/4 = A
4cm = A.
Entonces el ancho es 4 cm, y el largo es L = 4cm + 6cm = 10cm
(x, y)
The domain are all the x-values, the range are all the y-values.
R={(19,96),(20,101),(21,106),(22,111)}
The domain is: 19, 20, 21, and 22
The range is: 96, 101, 106, and 111
Answer:
8 in
Step-by-step explanation:
RA = 4 in, RB = 2 in
oil height in A = hA = 2 in
Find oil height in B = hB
volume of oil in A = VA = π*RA² * hA
equal amount means volume of oil in B VB = VA
But VB = π*RB² * hB
so π*RA² * hA = π*RB² * hB
then
hB = hA *(RA/RB)² = 2 * (4/2)² = 8 in
